A recent survey asked 5,324 individuals: What's most important to you when choosing where to live? The responses are shown by the following frequency distribution.[You may find it useful to reference thez table.]

ResponseFrequencyGood jobs1,969Affordable homes799Top schools586Low crime1,225Things to do745

Source: CNNMoney.com, July 13, 2010.

a.Calculate the margin of error used in the 95% confidence level for the population proportion of those who believe that low crime is most important.(Do not round intermediate calculations. Round "z" value and final answer to 3 decimal places.)

b.Calculate the margin of error used in the 95% confidence level for the population proportion of those who believe that good jobs or affordable homes are most important.(Do not round intermediate calculations. Round "z" value and final answer to 3 decimal places.)

c.Explain why the margins of error in parts a and b are different.

multiple choice

• The margin of error in part a and b are different because the population proportions in parts a and b are different.
• The margin of error in part a and b are different because the sample proportions in parts a and b are different.
• The margin of error in part a and b are different because the population standard deviations in parts a and b are different.